English
Hindi
14.Waves and Sound
normal

નાઇટ્રોજન અને હિલીયમ વાયુના $300 \,K$ સમાન તાપમાને ધ્વનિની ઝડપનો ગુણોત્તર કેટલો થાય?

A

$\frac{1}{2}$

B

$\frac{2}{3}$

C

$\sqrt {\frac{3}{5}} $

D

$\frac{4}{5}$

Solution

$v = \,\sqrt {\frac{{\gamma \,RT}}{M}} $

$\frac{{{v_N}}}{{{v_{He}}}}\, = \,\sqrt {\frac{{{\gamma _{{N_2}}}}}{{\gamma {}_{He}}}\frac{{{M_{He}}}}{{{M_{N2}}}}} \, = \sqrt {\frac{{7/5}}{{5/3}}.\frac{4}{{28}}} \, = \, \sqrt {\frac{3}{5}} $.

Standard 11
Physics

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